Chaos In Real Data

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Chaos in Real Data

J.N. Perry,R.H. Smith,I.P. Woiwod,D.R. Morse
Chaos in Real Data Book PDF

Author : J.N. Perry,R.H. Smith,I.P. Woiwod,D.R. Morse
Publisher : Springer Science & Business Media
Page : 239 pages
File Size : 42,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401140102

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Chaos in Real Data by J.N. Perry,R.H. Smith,I.P. Woiwod,D.R. Morse Pdf

Chaos in Real Data studies the range of data analytic techniques available to study nonlinear population dynamics for ecological time series. Several case studies are studied using typically short and noisy population data from field and laboratory. A range of modern approaches, such as response surface methodology and mechanistic mathematical modelling, are applied to several case studies. Experts honestly appraise how well these methods have performed on their data. The accessible style of the book ensures its readability for non-quantitative biologists. The data remain available, as benchmarks for future study, on the worldwide web.

The Essence Of Chaos

Flavio Lorenzelli
The Essence Of Chaos Book PDF

Author : Flavio Lorenzelli
Publisher : CRC Press
Page : 236 pages
File Size : 45,8 Mb
Release : 2003-09-02
Category : Science
ISBN : 9780203214589

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The Essence Of Chaos by Flavio Lorenzelli Pdf

The study of chaotic systems has become a major scientific pursuit in recent years, shedding light on the apparently random behaviour observed in fields as diverse as climatology and mechanics. InThe Essence of Chaos Edward Lorenz, one of the founding fathers of Chaos and the originator of its seminal concept of the Butterfly Effect, presents his own landscape of our current understanding of the field. Lorenz presents everyday examples of chaotic behaviour, such as the toss of a coin, the pinball's path, the fall of a leaf, and explains in elementary mathematical strms how their essentially chaotic nature can be understood. His principal example involved the construction of a model of a board sliding down a ski slope. Through this model Lorenz illustrates chaotic phenomena and the related concepts of bifurcation and strange attractors. He also provides the context in which chaos can be related to the similarly emergent fields of nonlinearity, complexity and fractals. As an early pioneer of chaos, Lorenz also provides his own story of the human endeavour in developing this new field. He describes his initial encounters with chaos through his study of climate and introduces many of the personalities who contributed early breakthroughs. His seminal paper, "Does the Flap of a Butterfly's Wing in Brazil Set Off a Tornado in Texas?" is published for the first time.

Chaos in Ecology

J. M. Cushing
Chaos in Ecology Book PDF

Author : J. M. Cushing
Publisher : Elsevier
Page : 248 pages
File Size : 54,8 Mb
Release : 2003
Category : Mathematics
ISBN : 0121988767

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Chaos in Ecology by J. M. Cushing Pdf

Chaos in Ecology is a convincing demonstration of chaos in a biological population. The book synthesizes an ecologically focused interdisciplinary blend of non-linear dynamics theory, statistics, and experimentation yielding results of uncommon clarity and rigor. Topics include fundamental issues that are of general and widespread importance to population biology and ecology. Detailed descriptions are included of the mathematical, statistical, and experimental steps they used to explore nonlinear dynamics in ecology. Beginning with a brief overview of chaos theory and its implications for ecology. The book continues by deriving and rigorously testing a mathematical model that is closely wedded to biological mechanisms of their research organism. Therefrom were generated a variety of predictions that are fundamental to chaos theory and experiments were designed and analyzed to test those predictions. Discussion of patterns in chaos and how they can be investigated using real data follows and book ends with a discussion of the salient lessons learned from this research program Book jacket.

Chaos-based Cryptography

Ljupco Kocarev,Shiguo Lian
Chaos based Cryptography Book PDF

Author : Ljupco Kocarev,Shiguo Lian
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 50,6 Mb
Release : 2011-06-17
Category : Computers
ISBN : 9783642205415

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Chaos-based Cryptography by Ljupco Kocarev,Shiguo Lian Pdf

Chaos-based cryptography, attracting many researchers in the past decade, is a research field across two fields, i.e., chaos (nonlinear dynamic system) and cryptography (computer and data security). It Chaos' properties, such as randomness and ergodicity, have been proved to be suitable for designing the means for data protection. The book gives a thorough description of chaos-based cryptography, which consists of chaos basic theory, chaos properties suitable for cryptography, chaos-based cryptographic techniques, and various secure applications based on chaos. Additionally, it covers both the latest research results and some open issues or hot topics. The book creates a collection of high-quality chapters contributed by leading experts in the related fields. It embraces a wide variety of aspects of the related subject areas and provide a scientifically and scholarly sound treatment of state-of-the-art techniques to students, researchers, academics, personnel of law enforcement and IT practitioners who are interested or involved in the study, research, use, design and development of techniques related to chaos-based cryptography.

Big Questions in Ecology and Evolution

Thomas N. Sherratt,David M. Wilkinson
Big Questions in Ecology and Evolution Book PDF

Author : Thomas N. Sherratt,David M. Wilkinson
Publisher : OUP Oxford
Page : 312 pages
File Size : 52,9 Mb
Release : 2009-02-19
Category : Social Science
ISBN : 9780191037542

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Big Questions in Ecology and Evolution by Thomas N. Sherratt,David M. Wilkinson Pdf

Why do we age? Why cooperate? Why do so many species engage in sex? Why do the tropics have so many species? When did humans start to affect world climate? This book provides an introduction to a range of fundamental questions that have taxed evolutionary biologists and ecologists for decades. Some of the phenomena discussed are, on first reflection, simply puzzling to understand from an evolutionary perspective, whilst others have direct implications for the future of the planet. All of the questions posed have at least a partial solution, all have seen exciting breakthroughs in recent years, yet many of the explanations continue to be hotly debated. Big Questions in Ecology and Evolution is a curiosity-driven book, written in an accessible way so as to appeal to a broad audience. It is very deliberately not a formal text book, but something designed to transmit the excitement and breadth of the field by discussing a number of major questions in ecology and evolution and how they have been answered. This is a book aimed at informing and inspiring anybody with an interest in ecology and evolution. It reveals to the reader the immense scope of the field, its fundamental importance, and the exciting breakthroughs that have been made in recent years.

Research Advances in Chaos Theory

Paul Bracken
Research Advances in Chaos Theory Book PDF

Author : Paul Bracken
Publisher : BoD – Books on Demand
Page : 138 pages
File Size : 55,9 Mb
Release : 2020-03-11
Category : Mathematics
ISBN : 9781789855432

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Research Advances in Chaos Theory by Paul Bracken Pdf

The subject of chaos has invaded practically every area of the natural sciences. Weather patterns are referred to as chaotic. There are chemical reactions and chaotic evolution of insect populations. Atomic and molecular physics have also seen the emergence of the study of chaos in these microscopic domains. This book examines the issue of chaos in nonlinear and dynamical systems, quantum mechanics, biology, and economics.

Chaos

A.A. Tsonis
Chaos Book PDF

Author : A.A. Tsonis
Publisher : Springer Science & Business Media
Page : 279 pages
File Size : 55,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461533603

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Chaos by A.A. Tsonis Pdf

Based on chaos theory two very important points are clear: (I) random looking aperiodic behavior may be the product of determinism, and (2) nonlinear problems should be treated as nonlinear problems and not as simplified linear problems. The theoretical aspects ofchaos have been presented in great detail in several excellent books published in the last five years or so. However, while the problems associated with applications of the theory-such as dimension and Lyapunov exponentsestimation, chaosand nonlinear pre diction, and noise reduction-have been discussed in workshops and ar ticles, they have not been presented in book form. This book has been prepared to fill this gap between theory and ap plicationsand to assist studentsand scientists wishingto apply ideas from the theory ofnonlinear dynamical systems to problems from their areas of interest. The book is intended to be used as a text for an upper-level undergraduate or graduate-level course, as well as a reference source for researchers. My philosophy behind writing this book was to keep it simple and informative without compromising accuracy. I have made an effort to presentthe conceptsby usingsimplesystemsand step-by-stepderivations. Anyone with an understanding ofbasic differential equations and matrix theory should follow the text without difficulty. The book was designed to be self-contained. When applicable, examples accompany the theory. The reader will notice, however, that in the later chapters specific examples become less frequent. This is purposely done in the hope that individuals will draw on their own ideas and research projects for examples.

Chaos in Circuits and Systems

Guanrong Chen,Tetsushi Ueta
Chaos in Circuits and Systems Book PDF

Author : Guanrong Chen,Tetsushi Ueta
Publisher : World Scientific
Page : 656 pages
File Size : 49,6 Mb
Release : 2002
Category : Technology & Engineering
ISBN : 9789810249335

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Chaos in Circuits and Systems by Guanrong Chen,Tetsushi Ueta Pdf

In this volume, leading experts present current achievements in the forefront of research in the challenging field of chaos in circuits and systems, with emphasis on engineering perspectives, methodologies, circuitry design techniques, and potential applications of chaos and bifurcation. A combination of overview, tutorial and technical articles, the book describes state-of-the-art research on significant problems in this field. It is suitable for readers ranging from graduate students, university professors, laboratory researchers and industrial practitioners to applied mathematicians and physicists in electrical, electronic, mechanical, physical, chemical and biomedical engineering and science.

Chaos, Creativity, and Cosmic Consciousness

Rupert Sheldrake,Terence McKenna,Ralph Abraham
Chaos Creativity and Cosmic Consciousness Book PDF

Author : Rupert Sheldrake,Terence McKenna,Ralph Abraham
Publisher : Simon and Schuster
Page : 208 pages
File Size : 49,7 Mb
Release : 2001-11-01
Category : Body, Mind & Spirit
ISBN : 9781594777714

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Chaos, Creativity, and Cosmic Consciousness by Rupert Sheldrake,Terence McKenna,Ralph Abraham Pdf

Three of the most original thinkers of our time explore issues that call into question our current views of reality, morality, and the nature of life. • A wide-ranging investigation of the ecology of inner and outer space, the role of chaos theory in the dynamics of human creation, and the rediscovery of traditional wisdom. In this book of "trialogues," the late psychedelic visionary and shamanologist Terence McKenna, acclaimed biologist and originator of the morphogenetic fields theory Rupert Sheldrake, and mathematician and chaos theory scientist Ralph Abraham explore the relationships between chaos and creativity and their connection to cosmic consciousness. Their observations call into question our current views of reality, morality, and the nature of life in the universe. The authors challenge the reader to the deepest levels of thought with wide-ranging investigations of the ecology of inner and outer space, the role of chaos in the dynamics of human creation, and the resacralization of the world. Among the provocative questions the authors raise are: Is Armageddon a self-fulfilling prophecy? Are we humans the imaginers or the imagined? Are the eternal laws of nature still evolving? What is the connection between physical light and the light of consciousness? Part ceremony, part old-fashioned intellectual discussion, these trialogues are an invitation to a new understanding of what Jean Houston calls "the dreamscapes of our everyday waking life."

Nonlinear Physics For Beginners: Fractals, Chaos, Solitons, Pattern Formation, Cellular Automata And Complex Systems

Lui Lam
Nonlinear Physics For Beginners Fractals Chaos Solitons Pattern Formation Cellular Automata And Complex Systems Book PDF

Author : Lui Lam
Publisher : World Scientific Publishing Company
Page : 348 pages
File Size : 42,8 Mb
Release : 1998-03-31
Category : Science
ISBN : 9789813103702

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Nonlinear Physics For Beginners: Fractals, Chaos, Solitons, Pattern Formation, Cellular Automata And Complex Systems by Lui Lam Pdf

Almost all real systems are nonlinear. For a nonlinear system the superposition principle breaks down: The system's response is not proportional to the stimulus it receives; the whole is more than the sum of its parts. The three parts of this book contains the basics of nonlinear science, with applications in physics. Part I contains an overview of fractals, chaos, solitons, pattern formation, cellular automata and complex systems. In Part II, 14 reviews and essays by pioneers, as well as 10 research articles are reprinted. Part III collects 17 students projects, with computer algorithms for simulation models included.The book can be used for self-study, as a textbook for a one-semester course, or as supplement to other courses in linear or nonlinear systems. The reader should have some knowledge in introductory college physics. No mathematics beyond calculus and no computer literacy are assumed.

Networks and Chaos - Statistical and Probabilistic Aspects

J L Jensen,Wilfrid S. Kendall
Networks and Chaos Statistical and Probabilistic Aspects Book PDF

Author : J L Jensen,Wilfrid S. Kendall
Publisher : CRC Press
Page : 324 pages
File Size : 52,7 Mb
Release : 1993-07-22
Category : Mathematics
ISBN : 0412465302

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Networks and Chaos - Statistical and Probabilistic Aspects by J L Jensen,Wilfrid S. Kendall Pdf

This volume consists of a collection of tutorial papers by leading experts on statistical and probabilistic aspects of chaos and networks, in particular neural networks. While written for the non-expert, they are intended to bring the reader up to the forefront of knowledge and research in the subject areas concerned. The papers, which contain extensive references to the literature, can separately or in various combinations serve as bases for short- or full-length courses, at graduate or more advanced levels. The papers are directed not only to mathematical statisticians but also to students and researchers in related fields of biology, engineering, geology, physics and probability.

Chaos

Andrew Fowler,Mark McGuinness
Chaos Book PDF

Author : Andrew Fowler,Mark McGuinness
Publisher : Springer Nature
Page : 303 pages
File Size : 55,8 Mb
Release : 2020-02-06
Category : Mathematics
ISBN : 9783030325381

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Chaos by Andrew Fowler,Mark McGuinness Pdf

This is a textbook on chaos and nonlinear dynamics, written by applied mathematicians for applied mathematicians. It aims to tread a middle ground between the mathematician's rigour and the physicist’s pragmatism. While the subject matter is now classical and can be found in many other books, what distinguishes this book is its philosophical approach, its breadth, its conciseness, and its exploration of intellectual byways, as well as its liberal and informative use of illustration. Written at the graduate student level, the book occasionally drifts from classical material to explore new avenues of thought, sometimes in the exercises. A key feature of the book is its holistic approach, encompassing the development of the subject since the time of Poincaré, and including detailed material on maps, homoclinic bifurcations, Hamiltonian systems, as well as more eclectic items such as Julia and Mandelbrot sets. Some of the more involved codes to produce the figures are described in the appendix. Based on lectures to upper undergraduates and beginning graduate students, this textbook is ideally suited for courses at this level and each chapter includes a set of exercises of varying levels of difficulty.

Chaos: A Statistical Perspective

Kung-Sik Chan,Howell Tong
Chaos A Statistical Perspective Book PDF

Author : Kung-Sik Chan,Howell Tong
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 42,6 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475734645

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Chaos: A Statistical Perspective by Kung-Sik Chan,Howell Tong Pdf

This book discusses dynamical systems that are typically driven by stochastic dynamic noise. It is written by two statisticians essentially for the statistically inclined readers. It covers many of the contributions made by the statisticians in the past twenty years or so towards our understanding of estimation, the Lyapunov-like index, the nonparametric regression, and many others, many of which are motivated by their dynamical system counterparts but have now acquired a distinct statistical flavor.

Chaos in Biological Systems

Hans Degn,Arunn V. Holden,Lars Folke Olsen
Chaos in Biological Systems Book PDF

Author : Hans Degn,Arunn V. Holden,Lars Folke Olsen
Publisher : Springer Science & Business Media
Page : 319 pages
File Size : 43,9 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781475796315

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Chaos in Biological Systems by Hans Degn,Arunn V. Holden,Lars Folke Olsen Pdf

In recent years experimental and numerical studies have shown that chaos is a widespread phenomenon throughout the biological hierarchy ranging from simple enzyme reactions to ecosystems. Although a coherent picture of the fundamental mechanisms responsible for chaotic dynamics has started to appear it is not yet clear what the implications of such dynamics are for biological systems in general. In some systems it appears that chaotic dynamics are associated with a pathological condi tion. In other systems the pathological condition has regular periodic dynamics whilst the normal non-pathological condition has chaotic dyna mics. Since chaotic behaviour is so ubiquitous in nature and since the phenomenon raises some fundamental questions about its implications for biology it seemed timely to organize an interdisciplinary meeting at which leading scientists could meet to exchange ideas, to evaluate the current state of the field and to stipulate the guidelines along which future research should be directed. The present volume contains the contributions to the NATO Advanced Research Workshop on "Chaos in Biological Systems" held at Dyffryn House, St. Nicholas, Cardiff, U. K. , December 8-12, 1986. At this meeting 38 researchers with highly different backgrounds met to present their latest results through lectures and posters and to discuss the applica tions of non-linear techniques to problems of common interest. . In spite of their involvement in the study of chaotic dynamics for several years many of the participants met here for the first time.

Chaos and Nonlinear Dynamics

Robert C. Hilborn
Chaos and Nonlinear Dynamics Book PDF

Author : Robert C. Hilborn
Publisher : Unknown
Page : 676 pages
File Size : 52,5 Mb
Release : 2000
Category : Mathematics
ISBN : 0198507232

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Chaos and Nonlinear Dynamics by Robert C. Hilborn Pdf

This book introduces readers to the full range of current and background activity in the rapidly growing field of nonlinear dynamics. It uses a step-by-step introduction to dynamics and geometry in state space to help in understanding nonlinear dynamics and includes a thorough treatment of both differential equation models and iterated map models as well as a derivation of the famous Feigenbaum numbers. It is the only introductory book available that includes the important field of pattern formation and a survey of the controversial questions of quantum chaos. This second edition has been restructured for easier use and the extensive annotated references are updated through January 2000 and include many web sites for a number of the major nonlinear dynamics research centers. With over 200 figures and diagrams, analytic and computer exercises this book is a necessity for both the classroom and the lab.